Multiple choice

Volume of the solid obtained by revolving the area of the ellipse $\cfrac { { x }^{ 2 } }{ { a }^{ 2 } } +\cfrac { { y }^{ 2 } }{ { b }^{ 2 } } =1$ about major and minor axes are in the ratio:

  1. ${b}^{2}:{a}^{2}$
  2. ${a}^{2}:{b}^{2}$
  3. $a:b$
  4. $b:a$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of ellipsoid revolved about major axis (a) is 4/3 * pi * a * b^2. About minor axis (b) is 4/3 * pi * b * a^2. Ratio = (4/3 * pi * a * b^2) / (4/3 * pi * b * a^2) = b / a.

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